10,100 research outputs found
Rawnsley's -function on some Hartogs type domains over bounded symmetric domains and its applications
The purpose of this paper is twofold. Firstly, we will compute the explicit
expression of the Rawnsley's -function
of
,
where is a K\"ahler metric associated with the K\"ahler potential
on the generalized Cartan-Hartogs domain
and obtain
necessary and sufficient conditions for to
become a polynomial in . Secondly, we study the Berezin
quantization on
with the metric .Comment: 21 pages. arXiv admin note: text overlap with arXiv:1411.523
Design of PP3 a Packet Processor Chip
This paper describes the design of the PP3 packet processor chip. PP3 is one of the four component chips in a packet processor used in the high speed broadcast packet switching network [Tu88]. Together with the other three component chips, PP3 provides the interface between the fiber optic links and the switch fabric. PP3 in currently being fabricated in 2 μm CMOS technology
Matrix Product Representation of Locality Preserving Unitaries
The matrix product representation provides a useful formalism to study not
only entangled states, but also entangled operators in one dimension. In this
paper, we focus on unitary transformations and show that matrix product
operators that are unitary provides a necessary and sufficient representation
of 1D unitaries that preserve locality. That is, we show that matrix product
operators that are unitary are guaranteed to preserve locality by mapping local
operators to local operators while at the same time all locality preserving
unitaries can be represented in a matrix product way. Moreover, we show that
the matrix product representation gives a straight-forward way to extract the
GNVW index defined in Ref.\cite{Gross2012} for classifying 1D locality
preserving unitaries. The key to our discussion is a set of `fixed point'
conditions which characterize the form of the matrix product unitary operators
after blocking sites. Finally, we show that if the unitary condition is relaxed
and only required for certain system sizes, the matrix product operator
formalism allows more possibilities than locality preserving unitaries. In
particular, we give an example of a simple matrix product operator which is
unitary only for odd system sizes, does not preserve locality and carries a
`fractional' index as compared to their locality preserving counterparts.Comment: 14 page
- …